364.Which of the following statements is always
true?
a.The difference of two polynomials is a
polynomial.
b.The sum of three polynomials is a polynomial.
c.A trinomial minus a binomial is a polyno-
mial.
d.All of the above statements are true.
365.Which of the following statements is not true?
a.The quotient of two polynomials is a
polynomial.
b.The product of a constant and a polynomial
is a polynomial.
c.The degree of the polynomial, in simplified
form, is the highest power to which the vari-
able is raised in the expression.
d.The degree of a constant polynomial is zero.
366.Write the expression –(–2x^0 )–3+ 4–2x^2 – 3–1x–2
in simplified form.
a.^18 x^2 – ^13 x– ^185
b. 116 x^2 – ^13 x– ^185
c.–^18 x^2 – ^13 x– 8
d.–^18 x^2 + ^13 x– ^185
367.Compute –(2 – (1 – 2x^2 –(2x^2 – 1))) –
(3x^2 – (1– 2x^2 )).
a.–9x^2 – 1
b. 9 x^2 – 1
c. 9 x^2 + 1
d.–9x^2 + 1
368.Compute –2^2 (2–3– 2–2x^2 ) + 3^3 (3–2– 3–3x^3 ).
a.x^3 + x^2 + ^52
b.–x^3 + x^2 + ^52
c.–x^3 – x^2 + ^52
d.x^3 – x^2 – ^52
Set 24 (Answers begin on page 192)
The problems in this set focus on the multiplication of
polynomials.369.Compute 3x^3 7 x^2.
a. 21 x^5
b. 21 x^6
c. 10 x^5
d. 10 x^6- 2 x(5x^2 + 3y) is equivalent to which of the
following expressions?
a. 5 x^3 + 6xy
b. 10 x^2 + 6xy
c. 10 x^3 + 6xy
d. 10 x^3 + 6y
371.Which of the following expressions is equiva-
lent to x^3 + 6x?
a.x(x^2 + 6)
b.x(x+ 6)
c.x(x^2 + 6x)
d.x^2 (x+ 6)372.Compute 2x^2 (3x+ 4xy– 2xy^3 ).
a. 6 x^3 +8x^2 y– 4x^3 y^3
b. 6 x^3 +8x^3 y– 4x^3 y^3
c. 6 x^3 +8x^3 y– 4x^2 y^3
d. 6 x^2 +8x^2 y– 4x^3 y^3373.Compute 7x^5 (x^8 + 2x^4 – 7x– 9).
a. 7 x^13 + 9x^9 – 14x^6 – 16x^5
b. 7 x^40 + 14x^20 – 49x^5 – 63
c. 7 x^13 + 2x^4 – 7x– 9
d. 7 x^13 + 14x^9 – 49x^6 – 63x^5- POLYNOMIAL EXPRESSIONS–